Existence of modular sonar sequences of twin-prime product length

Authors:
Sung-Jun Yoon;Hong-Yeop Song
Affiliations:
School of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea;School of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea
Venue:
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
Year:
2007

Citing 5
Cited 1

An algebraic construction of sonar sequences using M-sequences

SIAM Journal on Algebraic and Discrete Methods
Spread spectrum communications handbook (revised ed.)

Spread spectrum communications handbook (revised ed.)
Shift Register Sequences

Shift Register Sequences
New designs for signal sets with low cross correlation, balance property, and large linear span: GF(p) case

IEEE Transactions on Information Theory
Theory and applications of q-ary interleaved sequences

IEEE Transactions on Information Theory

A Probabilistic Approach on Estimating the Number of Modular Sonar Sequences

SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we investigate the existence of modular sonar sequences of length v and mod v where v is a product of twin primes. For v = 3ċ5 = 15, we have found some old and new examples by exhaustive search. However, the very next case v = 5ċ 7 = 35 is completely open, in that neither we know (have) an example, nor we prove the nonexistence. We describe simply some approach to locate a single example of modular sonar sequences of length 35 and mod 35, assuming (or hoping) that one exists.